Mathematical Problems of the Dynamics of Incompressible Fluid on a Rotating Sphere by Yuri N. Skiba

Author:Yuri N. Skiba
Language: eng
Format: epub
Publisher: Springer International Publishing, Cham

(5.6.13)

where Y n (ψ) ∈ H n is the part of the RH wave (5.6.1), that is the homogeneous spherical polynomial of degree n. Note that ν ≠ 0 for any unstable or decaying mode (ν r ≠ 0), as well as for any non-stationary mode (ν i ≠ 0). Thus, we proved the following result:

Theorem 5.6.3

The amplitude of each unstable, decaying, or non-stationary mode of the RH wave ( 5.6.1 ) is orthogonal to the polynomial Y n (ψ) in the inner product ( 2.1.1 ), and to the wave ψ in the inner product:

(5.6.14)

Download

Copyright Disclaimer:
This site does not store any files on its server. We only index and link to content provided by other sites. Please contact the content providers to delete copyright contents if any and email us, we'll remove relevant links or contents immediately.